10000102022010 has 24 divisors (see below), whose sum is σ = 26000265257460. Its totient is φ = 2666693872512.

The previous prime is 10000102021967. The next prime is 10000102022081. The reversal of 10000102022010 is 1022020100001.

It can be written as a sum of positive squares in 2 ways, for example, as 9625884758721 + 374217263289 = 3102561^2 + 611733^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000102021983 and 10000102022001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55556122255 + ... + 55556122434.

Almost surely, 2^{10000102022010} is an apocalyptic number.

10000102022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000102022010 is an abundant number, since it is smaller than the sum of its proper divisors (16000163235450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000102022010 is a wasteful number, since it uses less digits than its factorization.

10000102022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111112244702 (or 111112244699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000102022010 its reverse (1022020100001), we get a palindrome (11022122122011).

The spelling of 10000102022010 in words is "ten trillion, one hundred two million, twenty-two thousand, ten".